|
">)2〔Regular polytopes, pp.49-50, p.98〕 |- |bgcolor=#e7dcc3|Elements (As a compound)||5 octahedra: ''F'' = 40, ''E'' = 60, ''V'' = 30 |- |bgcolor=#e7dcc3|Dual compound||Compound of five cubes |- |bgcolor=#e7dcc3|Symmetry group||icosahedral (''I''h) |- |bgcolor=#e7dcc3|Subgroup restricting to one constituent||pyritohedral (''T''h) |} The compound of five octahedra is one of the five regular polyhedron compounds. This polyhedron can be seen as either a polyhedral stellation or a compound. This compound was first described by Edmund Hess in 1876. == As a stellation == It is the second stellation of the icosahedron, and given as Wenninger model index 23. It can be constructed by a rhombic triacontahedron with rhombic-based pyramids added to all the faces, as shown by the five colored model image. (This construction does not generate the ''regular'' compound of five octahedra, but shares the same topology and can be smoothly deformed into the regular compound.) 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「compound of five octahedra」の詳細全文を読む スポンサード リンク
|